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Apocalypse Number


A number having 666 digits (where 666 is the beast number) is called an apocalypse number.

The Fibonacci number F_(3184) is the smallest Fibonacci apocalypse number (Livio 2002, p. 108).

Apocalypse primes are given by 10^(665)+n for n=123, 1837, 6409, 7329, 8569, 8967, 9663, ... (OEIS A115983). The smallest apocalypse prime containing the digits 666 is 10^(665)+166657 (Rupinski).


See also

Apocalyptic Number, Beast Number, Evil Number, Legion's Numbers, Leviathan Number

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References

Livio, M. The Golden Ratio: The Story of Phi, the World's Most Astonishing Number. New York: Broadway Books, p. 108, 2002.Pickover, C. A. Keys to Infinity. New York: Wiley, pp. 97-102, 1995.Pickover, C. A. "Apocalyptic Numbers." Ch. 72 in Wonders of Numbers: Adventures in Mathematics, Mind, and Meaning. Oxford, England: Oxford University Press, pp. 176-178, 2001.Rupinski, A. "10000...66657 (666-digits)." http://primes.utm.edu/curios/page.php?number_id=2690.Sloane, N. J. A. Sequence A115983 in "The On-Line Encyclopedia of Integer Sequences."

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Apocalypse Number

Cite this as:

Weisstein, Eric W. "Apocalypse Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ApocalypseNumber.html

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